An Amalgam Balian-Low Theorem for symplectic lattices of rational density

Carlos Cabrelli,Ursula Molter,Gotz E Pfander

doi:10.1109/sampta.2015.7148866

An Amalgam Balian-Low Theorem for symplectic lattices of rational density

Carlos Cabrelli, Ursula Molter + Show 1 more

https://doi.org/10.1109/sampta.2015.7148866

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Publication Date: May 1, 2015

Citations: 4

Affiliation: Fundación Ciencias Exactas y Naturales, Consejo Nacional de Investigaciones Científicas y Técnicas, University of Buenos Aires

#Gabor Space #Time-frequency Shifts + Show 8 more

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Abstract

A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single window function. Starting from the question of whether a Gabor space contains additional time-frequency shifts of the window function we establish a new Balian-Low type result. This result extends (for example) the well established Amalgam Balian-Low Theorem in the one dimensional case. The Gabor spaces considered in this note are generated by symplectic lattices of rational density.1

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